Whether a Pokémon is shiny or not is determined by a comparison of numbers (Involving the Trainer ID no., Secret ID no., and dissections of the Pokémon's Personailty Value). The probability of any Pokémon being shiny is literally 8 in 65536, rounded down to 1/8192; an appoximate 0.012207% chance.
To encounter a shiny Giratina in Pokémon Platinum, it would take around 8200 attempts. Each attempt would take approximately 25secs to visualize Giratina, resulting in an unrealistic 56 hours 56 minutes of constant farming.
If you were dedicated, it may realistically take an entire week of farming the Giratina encounter for 8 hours each day to encounter a shiny Giratina.
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You need a cheat on a m3 card to get a shiny Giratina
Absol is the Pokemon before Giratina. Absol's number in the pokedex is 209 and Giratina's number is 210. This is the one in the Pokemon platinum POKEDEX.
Giratina's weaknesses are Ice, Ghost, Dragon and Dark.
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To find a shiny stone in platinum you have to dig in the underground tunnel.